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Finding the Fourth Proportional to 595.99, 894.16 and 287.78

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Solution

The fourth proportional to 595.99, 894.16 and 287.78 is: 431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.99 : 894.16 = 287.78 : x
  2. Step 2: Convert to fraction form
    595.99/894.16 = 287.78/x
  3. Step 3: Cross multiply
    595.99x = 894.16 × 287.78
  4. Step 4: Simplify right side
    595.99x = 257,319.93
  5. Step 5: Solve for x
    x = 257,319.93/595.99
  6. Step 6: Final answer
    x = 431.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.